The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?
A. -22 B. -25 C. -19 D. -28 Answer: Option CShow Answer
Solution(By Apex Team)
$\begin{array}{l}
\begin{array}{l}
T_{2}=a+d=17 \ldots \ldots \text { (1) } \\
T_{8}=a+7 d=-1 \ldots \ldots \text { (2) }
\end{array}\\
\text { on solving (1) and (2) }\\
d=-3 \& a=20\\
\begin{aligned}
T_{14} &=a+13 d \\
&=20+13(-3) \\
&=-19
\end{aligned}
\end{array}$
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